Is math invented or discovered?



27102016, 02:38 AM




RE: Is math invented or discovered?
(26102016 03:39 PM)unknowndevil666 Wrote:(20102016 07:24 PM)Bucky Ball Wrote: Math is learned. Don't get too tied up with "inventing". In the final analysis the internal combustion engine is a collection of previous discoveries  some almost certainly accidental  put together over a period of time. Tomorrow is precious, don't ruin it by fouling up today. 

27102016, 05:46 PM




RE: Is math invented or discovered?
(27102016 12:32 AM)unknowndevil666 Wrote:(25102016 07:26 AM)Chas Wrote: Yes it is, but so what? That is a non sequitur. Quote:Particular systems of mathematics, such as geometry, calculus, number theory, can be viewed as the different languages. We have, conventionally, specified these groups. Another convention, we don't see the symbols that we use (1, *, %) in nature. However, like spoken languages, there is an underlying, fundamental property of all mathematical languages. What is it? They are all invented. Some are useful for modeling reality, others are not. Quote:I'll call it "relation" for right now. Mathematics shows how things relate to each other. Take any law of physics, F=G(M*m)/r^2 for instance. Newton didn't just create this formula of his own convention, he discovered this relationship between masses and put it into the syntax of our mathematical language, the same way we can communicate real concepts with manmade words in our English language. And "relation" exists in every field of mathematics, it arises from operation on truth values, logically proving theorems from axioms, etc. One might even say that "relation" doesn't just exist in math, but is the math. How does that explain mathematical systems that do not model any reality? Quote:What this all means is that if the "inverse square ratio" was something created by humans for specific problems, it should stay within the realm of those problems. Another non sequitur. The relationship exists, we have both words and maths to describe it. Quote:The fact that we've found this is embedded in universal law suggests it's a "relation" that exists outside of our own convention. Yes, the relationship exists. So? Quote:You also use pi as an example. The significance of pi being able to be calculated in a Taylor series is that it was originally found by using polygons and circles. If pi was created as a tool to solve geometric problems, then what the hell is it doing in calculus or the Gaussian distribution?? Pi was no more created than the inverse square nature of gravity or radiation was. The ratio of a circle's circumference to its diameter is a fact. But that existence is not mathematics. Quote:Our languages of mathematics can define pi using C/d, or the integral of a halfcircle function, or Euler's formula (like how one can use different languages to communicate anger) but pi means something more than just the way we use it (like how the language in which we communicate anger is not the actual communication itself). What does pi mean? Quote:So yes, we have different methods of mathematics (methods of communication, i.e. language) that we create and use as tools, but that isn't the essence of mathematics itself. You are confusing mathematics with reality. We create mathematics to, among other things, model reality. Skepticism is not a position; it is an approach to claims. Science is not a subject, but a method. 

27102016, 06:18 PM




RE: Is math invented or discovered?
(27102016 05:46 PM)Chas Wrote: That is a non sequitur. "Nope" "That's not true, this is true" "Wut?" "Nope" "So?" "That's not true, this is true" "Wut?" "That's not true, this is true" Sorry, but I don't feel any reason to continue. I will link this article though: What is π? 

27102016, 06:32 PM




RE: Is math invented or discovered?
(27102016 06:18 PM)unknowndevil666 Wrote:(27102016 05:46 PM)Chas Wrote: That is a non sequitur. Since you have no constructive response, I see no need to continue either. Skepticism is not a position; it is an approach to claims. Science is not a subject, but a method. 

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